Well-Posedness of Fixed Point Problem for a Multifunction Satisfying an Implicit Relation
Mathematica Moravica, Tome 15 (2011) no. 2.

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The notion of well-posedness of a fixed point problem for a single valued mapping has generated much interest to a several mathematicians, for examples, F.S. De Blassi and J. Myjak (1989), S. Reich and A. J. Zaslavski (2001), B.K. Lahiri and P. Das (2005) and V. Popa (2006 and 2008). In this paper we extend the notion of well-posedness known for single valued mappings to the case of multifunctions. We establish the well-posedness of fixed point problem for a multifunction satisfying an implicit relation in orbitally complete metric spaces.
Mots-clés : Well-posedness of fixed point problem for a multifunction, strict fixed points, implicit relations, orbitally complete metric spaces 
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Mohamed Akkouchi; Valeriu Popa. Well-Posedness of Fixed Point Problem for a Multifunction Satisfying an Implicit Relation. Mathematica Moravica, Tome 15 (2011) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2011_15_2_a0/